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Finding the Fourth Proportional to 1,027.90, 1,418.46 and 562.14

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Solution

The fourth proportional to 1,027.90, 1,418.46 and 562.14 is: 775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.90 : 1,418.46 = 562.14 : x
  2. Step 2: Convert to fraction form
    1,027.90/1,418.46 = 562.14/x
  3. Step 3: Cross multiply
    1,027.90x = 1,418.46 × 562.14
  4. Step 4: Simplify right side
    1,027.90x = 797,373.10
  5. Step 5: Solve for x
    x = 797,373.10/1,027.90
  6. Step 6: Final answer
    x = 775.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.